Another kind of general integral transform called “emad-salam-elaf transform”

¹ University of Al-Qadisiyah, College of Science, Medical Physics Department, Diwaniya, Iraq
² Mustansiriyah University, College of Basic Education, Department of Mathematics, Baghdad, Iraq
³ Al-Mansour University College, Baghdad, Iraq

^* Corresponding Author: salam.sehen@qu.edu.iq

Abstract

This article introduces another type of integral transformation in its general format; this general transformation is proposed as a new general integral transformation called the “Emad-Salam-Elaf Transform.” This general integral transformation is elaborated, and its fundamental functions and theorems have been proven. The eligibility of the proposed general integral transform is proven by solving ordinary differential equations of the first and second-order nature.Another type of general integral transform has been studied and proven for some elementary functions, its applicability and ability to evaluate the exact solution have been proven by utilizing the transform to find the solution of first and second order ordinary differential equations.